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Finding the Fourth Proportional to 407,858.84, 611,598 and 155,186.36

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Solution

The fourth proportional to 407,858.84, 611,598 and 155,186.36 is: 232,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,858.84 : 611,598 = 155,186.36 : x
  2. Step 2: Convert to fraction form
    407,858.84/611,598 = 155,186.36/x
  3. Step 3: Cross multiply
    407,858.84x = 611,598 × 155,186.36
  4. Step 4: Simplify right side
    407,858.84x = 94,911,667,403.28
  5. Step 5: Solve for x
    x = 94,911,667,403.28/407,858.84
  6. Step 6: Final answer
    x = 232,707.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.